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On Permutation Groups with Regular Subgroup

Published online by Cambridge University Press:  20 November 2018

R. D. Bercov
R. D. Bercov*
Affiliation:
The University of AlbertaEdmonton, Alberta, Canada
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W. Burnside [3, p. 343] showed that a cyclic group of order pm (p prime, m > l) cannot occur as a regular subgroup of a simply transitive primitive group. (For definitions and notation see [9].) Groups which are contained regularly in a primitive group G only when G is doubly transitive are therefore called B-groups [9, p. 64].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 3 , 01 September 1974 , pp. 359 - 361
Copyright
Copyright © Canadian Mathematical Society 1974

References

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